Question

If a b and c are three different numbers which of the following equations has exactly one solution?

Answer 1

Option B is correct.

Step-by-step explanation:

We need to identify which of the following equations has exactly one solution.

We will solve each equation to find the answer

A. $ax+b=ax+b$

Solving and finding value of x:

$ax+b=ax+b\\ax-ax=b-b\\0=0$

This equation has infinite number of solutions because both sides are equal to 0

B. $ax=bx+c$

Solving and finding value of x:

$ax=bx+c\\ax-bx=c\\x(a-b)=c\\x=\frac{c}{a-b}$

This equation has exactly one solution

C. $ax+b=ax+c$

$ax+b=ax+c\\ax-ax=c-b\\0=c-b$

This equation has no solution because both sides are not equal.

So, Option B is correct.

Keywords: Solving Equations

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